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In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page xv
by Robert Potts - 1876 - 403 pages

## Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...1. In every triangle the square on tho side subtending either of the acute angles is less than tho squares on the sides containing that angle by twice...the rectangle contained by either of these sides and tho straight line intercepted between tho acute angle and the perpendicular let fall upon it from tho...

## The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...the angle BAD. 5. Draw through a given point a straight line parallel to a given straight line. 6. In every triangle the square on the side subtending an acute angle is less than the square on the sides containing that angle, by twice the rectangle contained by either of these sides,...

## The Competitor, Volumes 1-2

1882 - 480 pages
...triangle ABC, therefore the triangle DHK is also one-fourth of ABC. (QED) 8. In any triangle, prove that the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by either of...

## Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 pages
...of a triangle draw a right line bisecting the area of the triangle. 4. In any triangle, prove that the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle under either of these...

## The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...Prop. 7, Bk. II. 3. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either oí these sides, and the straight line intercepted between the acute angle and the perpendicular let...

## The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...Prop. 7, Bk. II. 3. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by eithor of these sides, and the straight line intercepted between the acute angle and the perpendicular...

## Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...13. THEOR. In any triangle the square on a side opposite to an acute angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by either of them and the projection of the other upon it. DC DBC Let AB be opposite the acute L ACB. Draw AD JL...

## Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...described on the other two sides of it, the angle contained by these two sides is a right angle. 5. In every triangle, the square on the side subtending...line intercepted between the perpendicular let fall from the opposite angle and the acute angle. Prove this proposition only in the case of an acute-angled...